Publications (8)44.2 Total impact
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ABSTRACT: On the basis of a parton model studied earlier we consider the production process of largemass lepton pairs from hadronhadron inelastic collisions in the limiting region, s→∞, Q2/s finite, Q2 and s being the squared invariant masses of the lepton pair and the two initial hadrons, respectively. General scaling properties and connections with deep inelastic electron scattering are discussed. In particular, a rapidly decreasing cross section as Q2/s→1 is predicted as a consequence of the observed rapid falloff of the inelastic scattering structure function νW2 near threshold.  [Show abstract] [Hide abstract]
ABSTRACT: This is the last in a series of four papers devoted to a theoretical study based on canonical field theory of the deepinelastic lepton processes. In the present paper we present the detailed calculations leading to the limiting behavior—or the "parton model"—for deepinelastic neutrino scattering, i.e., ν+p→e+anything,'' ν̅ +p→e++anything,'' where "anything" refers to all possible hadrons. In particular, we show that the structure functions depend only on the ratio of energy to momentum transfer 2Mν/q2 as conjectured by Bjorken on general grounds. Experimental implications, including sum rules and the relation of ν and ν̅ cross sections to each other as well as to deepinelastic electron scattering cross sections, are derived and discussed.  [Show abstract] [Hide abstract]
ABSTRACT: A study is made of the additional information learned from measurements of the correlation of two (or more) detected particles in the final states of deep inelastic lepton processes. Generalized Bjorken limits are derived in which the new structure functions depend only on the ratios of the kinematical variables available, just as do the more familiar structure functions ${W}_{1}$ and $$\nu${}{W}_{2}$ for electronproton scattering in the deep inelastic region. Experimental implications are discussed.  [Show abstract] [Hide abstract]
ABSTRACT: This is the third in a series of four papers devoted to a theoretical study based on canonical quantum field theory of the deepinelastic lepton processes. In the present paper we present the detailed calculations leading to the limiting behavior—or the "parton model"—for deepinelastic electronpositron annihilation into a nucleon (or hadron) plus "anything else," i.e., e+e+→p+anything,'' where "anything" refers to all possible hadrons. In particular, we show that the structure functions satisfy a scaling behavior analogous to the Bjorken limit for deepinelastic scattering. The precise relation of the structure functions for deepinelastic annihilation processes to those for the deepinelastic scattering is discussed along with specific experimental implications and tests.  [Show abstract] [Hide abstract]
ABSTRACT: This is the second in a series of four papers devoted to a theoretical study based on canonical quantum field theory of the deepinelastic lepton processes. In the present paper we present the detailed calculations leading to the limiting behavioror the "parton model"for deepinelastic electron scattering. It follows from this work that the structure functions depend only on the ratio of energy to momentum transfer 2Mnuq2 as conjectured by Bjorken on general grounds. To accomplish this derivation, it is necessary to introduce a transverse momentum cutoff so that there exists an asymptotic region in which q2 and Mnu can be made larger than the transverse momenta of all the virtual constituents or "partons" of the proton that are involved. We also derive the ladder approximation for the leading contribution, order by order in the strong interaction and to all orders in the coupling, to the asymptotic behavior of these structure functions with increasing ratio of energy to momentum transfer. Finally, we draw and discuss the experimental implications.  [Show abstract] [Hide abstract]
ABSTRACT: It is suggested that if the structure function nuW2 for deep inelastic electronproton scattering behaves near threshold as nuW2~(1omega)(1 1omega)p for omega≡2MnuQ2>1, then the elastic electromagnetic form factor of the proton F1 behaves for large momentum transfers as F1(Q2)~(1Q2)(p+1)2 for Q2>∞ 
Article: Theory of DeepInelastic LeptonNucleon Scattering and LeptonPair Annihilation Processes. I
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ABSTRACT: The structure functions for deepinelastic lepton processes including (along with other hadron charges and SU3 quantum numbers) e+p→e+anything," e+e+→p+anything," ν+p→e+anything," ν̅ +p→e++anything" are studied in the Bjorken limit of asymptotically large momentum and energy transfers, q2 and Mν, with a finite ratio w≡2Mν/q2. A "parton" model is derived from canonical field theory for all these processes. It follows from this result that all the structure functions depend only on w, as conjectured by Bjorken for the deepinelastic scattering. To accomplish this derivation it is necessary to introduce a transverse momentum cutoff so that there exists an asymptotic region in which q2 and Mν can be made larger than the transverse momenta of all the partons that are involved. Upon crossing to the e+e annihilation channel and deriving a parton model for this process, we arrive at the important result that the deepinelastic annihilation cross section to a hadron plus "anything" is very large, varying with colliding e+e beam energy at fixed w in the same way as do pointlepton cross sections. General implications for collidingring experiments and ratios of annihilation to scattering cross sections and of neutrino to electron inelastic scattering cross sections are computed and presented. Finally, we discuss the origin of our transverse momentum cutoff and the compatibility of rapidly decreasing elastic electromagnetic form factors with the parton model constructed in this work.  [Show abstract] [Hide abstract]
ABSTRACT: The structure functions for inelastic electronnucleon scattering are studied in the Bjorken limit in the framework of canonical field theory. The "parton" model of Feynman is derived and the structure functions' asymptotic behavior for large energy transfers is computed.
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2k  Citations  
44.20  Total Impact Points  
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19691970

Stanford University
 Stanford Linear Accelerator Center
Palo Alto, CA, United States
